Author: L. Bostock
Publisher: Nelson Thornes
ISBN: 0859501418
Release Date: 1984
Genre: Mathematics

This volume deals with Mechanics and the solving of mechanical problems with the help of Pure Mathematics. An appreciation of the properties of vectors is introduced at an early stage, and throughout the book problems are solved using vector methods where appropriate.

Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.

Author: L. Bostock
Publisher: Nelson Thornes
ISBN: 0859501035
Release Date: 2014-11-01
Genre: Juvenile Nonfiction

This volume continues the work covered in Core Maths or Mathematics - The Core Course for Advanced Level to provide a full two-year course in Pure Mathematics for A-Level.

Author: Paolo L. Gatti
Publisher: CRC Press
ISBN: 0203305434
Release Date: 2004-11-10
Genre: Architecture

Probability Theory and Statistical Methods for Engineers brings together probability theory with the more practical applications of statistics, bridging theory and practice. It gives a series of methods or recipes which can be applied to specific problems. This book is essential reading for practicing engineers who need a sound background knowledge of probabilistic and statistical concepts and methods of analysis for their everyday work. It is also a useful guide for graduate engineering students.

Author: Linda Bostock
Publisher: Nelson Thornes
ISBN: 0859503062
Release Date: 1981
Genre: Juvenile Nonfiction

Written for the Edexcel Syllabus B and similar schemes offered by the major Awarding Bodies. The authors have incorported many modern approaches to mathematical understanding whilst retaining the most effective traditional methods. Plenty of worked examples and stimulating exercises also support this highly popular text.

The founder of Hungary's Probability Theory School, A. Rényi made significant contributions to virtually every area of mathematics. This introductory text is the product of his extensive teaching experience and is geared toward readers who wish to learn the basics of probability theory, as well as those who wish to attain a thorough knowledge in the field. Based on the author's lectures at the University of Budapest, this text requires no preliminary knowledge of probability theory. Readers should, however, be familiar with other branches of mathematics, including a thorough understanding of the elements of the differential and integral calculus and the theory of real and complex functions. These well-chosen problems and exercises illustrate the algebras of events, discrete random variables, characteristic functions, and limit theorems. The text concludes with an extensive appendix that introduces information theory.

Author: Yemima Ben-Menahem
Publisher: Springer Science & Business Media
ISBN: 9783642213298
Release Date: 2012-01-10
Genre: Science

What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.

Author: Louis M. Houston
Publisher:
ISBN: 1948801205
Release Date: 2018-04-27
Genre: Mathematics

Probability mechanics is a modified quantum mechanics that explains how information is converted into energy and derives the specific equation for the conversion. Probability mechanics explains how probability can be altered so that certain events are more or less likely to happen. We refer to this as manifestation. Physics is modified by probability mechanics by weighting physical quantities with a function of probability. As a result, probability mechanics proves that the gravitational field is deterministic, and thus, there can be no quantum gravity. Probability mechanics also proves that the universe was not created by an intelligent source. That is consistent with the hypothesis that the universe was created by a quantum fluctuation in the vacuum field.

Author: Leonid Koralov
Publisher: Springer Science & Business Media
ISBN: 9783540688297
Release Date: 2007-08-10
Genre: Mathematics

A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probability theory and the theory of random processes. The book includes detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. It also includes the theory of stationary random processes, martingales, generalized random processes, and Brownian motion.

Author: Mark Levi
Publisher: Princeton University Press
ISBN: 9780691154565
Release Date: 2012
Genre: Science

In this delightful book, Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can.

This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Probability & Statistics 2 matches the corresponding unit of the syllabus, with a clear and logical progression through. It contains materials on topics such as hypothesis testing, Poisson distribution, linear combinations and continuous random variables, and sampling. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

Author: Linda Bostock
Publisher: Nelson Thornes
ISBN: 0748755098
Release Date: 2000
Genre: Juvenile Nonfiction

Since the launch of the Human Genome project in 1990, understanding molecular and clinical genetics has become an essential aspect of modern medical education. Solid knowledge of genetics is now crucial to a host of healthcare professionals including primary care physicians, nurses and physician assistants. This third edition takes this crucial information and incorporates it into a student-friendly format that focuses on the core concept of human genetics. Each chapter uses the same problem-based approach as the previous editions, and addresses the important role of genetics and disease by integrating molecular and clinical genetics.

Author: Albert N. Shiryaev
Publisher: Springer
ISBN: 9780387722061
Release Date: 2016-07-08
Genre: Mathematics

Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a final chapter on the history of probability theory.